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Finding the Fourth Proportional to 22,683.28, 31,300.68 and 13,250.56

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Solution

The fourth proportional to 22,683.28, 31,300.68 and 13,250.56 is: 18,284.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,683.28 : 31,300.68 = 13,250.56 : x
  2. Step 2: Convert to fraction form
    22,683.28/31,300.68 = 13,250.56/x
  3. Step 3: Cross multiply
    22,683.28x = 31,300.68 × 13,250.56
  4. Step 4: Simplify right side
    22,683.28x = 414,751,538.38
  5. Step 5: Solve for x
    x = 414,751,538.38/22,683.28
  6. Step 6: Final answer
    x = 18,284.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.